Hello i really need help with this!

1. Sketch f(x). Demonstrate how to use techniques from this course. Show your calculations and verifications, as marks are earned for the process. Label and title the important features of this graph as practiced in class. Verify your critical points and inflection points. 5 marks. 2x - 7 2(x (x) f' (x) 4) 2(2x -9) (x - 3)3 f" (x) = (x- 3)2 3)+ 2. Find two numbers. They are both non-negative numbers. The sum of the two numbers is 9. The product of one number and the square of the other number is a maximum. Demonstrate how to find the numbers using calculus techniques learned in our course." 4 marks. 3. An oil rig is in the sea. A port is on the shoreline 500 m directly North of the oil rig. The shoreline is straight and runs from the East to the West. 2000 m East of the port is an oil refinery. A pipeline to carry oil from the rig must be built to the refinery. Building the pipeline costs $50 per meter if it is in the water and $20 per m if it is on land. Determine where the pipeline should make landfall in order to minimize cost. Include a labelled diagram for full marks. 4 marks